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A new fixed point theorem for Monch maps on locally convex spaces is given. In addition, a continuation theorem for Monch maps is presented.

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Ellis, Graham(American Mathematical Society (AMS), 2001-10-01)

Let H be a group with a normal subgroup N contained in the upper central subgroup Z(c)H. In this article we study the influence of the quotient group G = H/N on the lower central subgroup gamma Hc+1. In particular, for any ...

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Ellis, Graham(American Mathematical Society (AMS), 1998-09-01)

This paper is based on the seemingly new observation that the Schur multiplier M(G) of a d-generator group of prime-power order pn has order \M(G)\ less than or equal to p(d(2n-d-1)/2). We prove several related results, ...

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We prove a factorization result for relatively compact subsets of compact operators using the Bartle and Graves Selection Theorem, a characterization of relatively compact subsets of tensor products due to Grothendieck, ...

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We study the classes of homogeneous polynomials on a Banach space with unconditional Schauder basis that have unconditionally convergent monomial expansions relative to this basis. We extend some results of Matos, and we ...

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An elementary argument constructs, for each cardinal alpha, a topological space whose subspaces, ordered by homeomorphic embeddability, can model every partial order on alpha-many points. We show how to modify this procedure ...

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Background: The non-thrombotic effects of thrombin in cardiovascular tissues, as mediated via the protease activated receptors (PARs), and particularly PAR-1, have been the focus of much recent research. The aims of this ...

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O'Regan, Donal(American Mathematical Society (AMS), 1998-10-01)

In this paper we obtain new fixed point and random fixed point theory for approximable maps.

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O'Regan, Donal(American Mathematical Society (AMS), 1998-07-01)

Fixed point results of continuation type are presented for random operators. Some applications to stochastic integral equations of Volterra type are also given.

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O'Regan, Donal(American Mathematical Society (AMS), 1999-12-01)

A nonlinear alternative of Leray-Schauder type is presented for condensing operators with closed graph. We will then use this theorem to establish new existence principles for differential and integral inclusions in Banach spaces.

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We study the n-homogeneous polynomials on a Banach space X that can be extended to any space containing X. We show that there is an upper bound on the norm of the extension. We construct a predual for the space of all ...

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Background: Many current gene prediction methods use only one model to represent protein-coding regions in a genome, and so are less likely to predict the location of genes that have an atypical sequence composition. It ...

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Current protective lung ventilation strategies commonly involve hypercapnia. This approach has resulted in an increase in the clinical acceptability of elevated carbon dioxide tension, with hypoventilation and hypercapnia ...